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420312046 = 271117181887
BaseRepresentation
bin11001000011010…
…111001111101110
31002021220001201211
4121003113033232
51330044441141
6105412425034
713262410360
oct3103271756
91067801654
10420312046
111a6289730
12b891817a
1369103a6b
143db70d30
1526d76d81
hex190d73ee

420312046 has 64 divisors (see below), whose sum is σ = 837817344. Its totient is φ = 153100800.

The previous prime is 420312031. The next prime is 420312071. The reversal of 420312046 is 640213024.

It is a happy number.

It is a super-2 number, since 2×4203120462 = 353324432025412232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473415 + ... + 474301.

It is an arithmetic number, because the mean of its divisors is an integer number (13090896).

Almost surely, 2420312046 is an apocalyptic number.

420312046 is a deficient number, since it is larger than the sum of its proper divisors (417505298).

420312046 is a wasteful number, since it uses less digits than its factorization.

420312046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 420312046 is about 20501.5132612205. The cubic root of 420312046 is about 749.0726588942.

The spelling of 420312046 in words is "four hundred twenty million, three hundred twelve thousand, forty-six".

Divisors: 1 2 7 11 14 17 22 34 77 119 154 181 187 238 362 374 887 1267 1309 1774 1991 2534 2618 3077 3982 6154 6209 9757 12418 13937 15079 19514 21539 27874 30158 33847 43078 67694 68299 105553 136598 160547 165869 211106 236929 321094 331738 473858 1123829 1161083 1766017 2247658 2322166 2729299 3532034 5458598 12362119 19105093 24724238 30022289 38210186 60044578 210156023 420312046